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Finding the Fourth Proportional to 5,830.64, 8,749.74 and 2,543.93

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Solution

The fourth proportional to 5,830.64, 8,749.74 and 2,543.93 is: 3,817.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830.64 : 8,749.74 = 2,543.93 : x
  2. Step 2: Convert to fraction form
    5,830.64/8,749.74 = 2,543.93/x
  3. Step 3: Cross multiply
    5,830.64x = 8,749.74 × 2,543.93
  4. Step 4: Simplify right side
    5,830.64x = 22,258,726.08
  5. Step 5: Solve for x
    x = 22,258,726.08/5,830.64
  6. Step 6: Final answer
    x = 3,817.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.